Solve `sqrt 2+sin theta=cos theta`.

Prove that sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))=2 cos theta

Prove that (1+sintheta-cos theta)/(1+sin theta+costheta)=tantheta//2

Solve sin2theta+costheta=0

Solve tan 5theta=cot2theta .

The product of matrices A = [(cos^(2) theta, cos theta sin theta),(cos theta sin theta , sin^(2) theta)] and sin B = [(cos^(2)phi, cos phi sin phi),(cos phi sin phi, sin^(2) phi)] is a null matrix if theta - phi =

Prove that (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

Solve costheta+cos3theta-2cos2theta=0 .

If a cos theta+b sin theta=c , show that asin theta-bcos theta=pm sqrt((a)^(2)+(b)^(2)-(c)^(2))

We express ((cos 2theta -i sin 2theta)^(4) (cos 4theta + i sin 4 theta)^(-5))/((cos 3theta + i sin 3theta)^(-2) (cos 3theta -i sin 3theta)^(-9)) in the form of x+iy , we get